Determine if the following statements are TRUE or FALSE. Sketch a graph to support each answer. a. If f ' (c) = 0, then f has a local maximum or minimum at x = c b. If f is a continuous function on...

Determine if the following statements are TRUE or FALSE. Sketch a graph to support each answer.

a. If f ' (c) = 0, then f has a local maximum or minimum at x = c

b. If f is a continuous function on the closed interval[a,b], then f must have an absolute minimum and an absolute maximum

c. Every function must have an absolute maximum or minimum